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A Study of (R,S)-Bimodules Homomorphisms

Jurnal Matematika, Statistika dan Komputasi · Vol. 22 No. 2 (2026) · pp. 315–321

DOI
10.20956/j.v22i2.48175
ISSN
2614-8811, 1858-1382
Published
2026-01-10
Publisher
Department of Mathematics, Hasanuddin University
Language
en
License
creativecommons.org/licenses/by/4.0

Abstract

This paper discusses the generalization of the fundamental theorems of -module homomorphisms to the structure of -bimodules, where and are rings with identity. The study begins with a review of the definitions, properties, and types of -bimodule homomorphisms. Subsequently, three fundamental theorems of -module homomorphisms are generalized to the -bimodule setting. The results show that the fundamental structures and relationships in module theory can be naturally extended to bimodules by considering the actions of two rings that are compatible with the bimodule operations. This generalization provides a broader framework for studying algebraic structures involving two interacting ring actions.This paper discusses the generalization of the fundamental theorems of -module homomorphisms to the structure of -bimodules, where and are rings with identity. The study begins with a review of the definitions, properties, and types of -bimodule homomorphisms. Subsequently, three fundamental theorems of -module homomorphisms are generalized to the -bimodule setting. The results show that the fundamental structures and relationships in module theory can be naturally extended to bimodules by considering the actions of two rings that are compatible with the bimodule operations. This generalization provides a broader framework for studying algebraic structures involving two interacting ring actions.

Keywords

Collaboration network of the authors

14 authors · 25 co-authorship links

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Co-authorOrganisationJoint articles
Yassin Dwi CahyoAffiliation unknown2
Annisa Dini HandayaniAffiliation unknown1
Uha IsnainiAffiliation unknown1
Prastudy FauziAffiliation unknown1
Irma Sari YuliantiAffiliation unknown1
Uskar Sabilil MukmininAffiliation unknown1
Fayi Salsabila SumaryatiAffiliation unknown1
Gusti Ayu Dwi YantiAffiliation unknown1
Rima Aksen CahdriyanaAffiliation unknown1
Dea AprianiAffiliation unknown1
Nanda SubastianAffiliation unknown1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://journal.unhas.ac.id/index.php/jmsk/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en">A Study of (R,S)-Bimodules Homomorphisms</dc:title>
	<dc:creator xml:lang="en">Yuwaningsih, Dian Ariesta</dc:creator>
	<dc:creator xml:lang="en">Wijayanti, Indah Emilia</dc:creator>
	<dc:creator xml:lang="en">Surodjo, Budi</dc:creator>
	<dc:subject xml:lang="en">homomorphism</dc:subject>
	<dc:subject xml:lang="en">isomorphism</dc:subject>
	<dc:subject xml:lang="en">epimorphism</dc:subject>
	<dc:subject xml:lang="en">bimodules</dc:subject>
	<dc:description xml:lang="en">This paper discusses the generalization of the fundamental theorems of -module homomorphisms to the structure of -bimodules, where  and  are rings with identity. The study begins with a review of the definitions, properties, and types of -bimodule homomorphisms. Subsequently, three fundamental theorems of -module homomorphisms are generalized to the -bimodule setting. The results show that the fundamental structures and relationships in module theory can be naturally extended to bimodules by considering the actions of two rings that are compatible with the bimodule operations. This generalization provides a broader framework for studying algebraic structures involving two interacting ring actions.This paper discusses the generalization of the fundamental theorems of -module homomorphisms to the structure of -bimodules, where  and  are rings with identity. The study begins with a review of the definitions, properties, and types of -bimodule homomorphisms. Subsequently, three fundamental theorems of -module homomorphisms are generalized to the -bimodule setting. The results show that the fundamental structures and relationships in module theory can be naturally extended to bimodules by considering the actions of two rings that are compatible with the bimodule operations. This generalization provides a broader framework for studying algebraic structures involving two interacting ring actions.</dc:description>
	<dc:publisher xml:lang="en">Department of Mathematics, Hasanuddin University</dc:publisher>
	<dc:date>2026-01-10</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
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	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journal.unhas.ac.id/index.php/jmsk/article/view/48175</dc:identifier>
	<dc:identifier>10.20956/j.v22i2.48175</dc:identifier>
	<dc:source xml:lang="en">Jurnal Matematika, Statistika dan Komputasi; Vol. 22 No. 2 (2026): JANUARY 2026; 315-321</dc:source>
	<dc:source>2614-8811</dc:source>
	<dc:source>1858-1382</dc:source>
	<dc:language>en</dc:language>
	<dc:relation>https://journal.unhas.ac.id/index.php/jmsk/article/view/48175/13977</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2026 Jurnal Matematika, Statistika dan Komputasi</dc:rights>
	<dc:rights xml:lang="en">https://creativecommons.org/licenses/by/4.0</dc:rights>
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